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A grocery store refrigerator contains 55 cartons of eggs. Of these, 40 cartons are fully intact...

A grocery store refrigerator contains 55 cartons of eggs. Of these, 40 cartons are fully intact while the rest contain at least one broken egg. A sample of 11 cartons will be selected (without replacement) from the 55 cartons in the refrigerator. Let X = number of cartons in the sample that are fully intact.

(a) The probability that the sample will contain exactly 8 cartons that are fully intact is __ .

(b) The expected value of X is __ .

(c) The variance of X is __ .

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